The two Premier League clubs have already held talks with the Uruguayan's representatives via intermediaries and he has now admitted that a summer move could be on the cards
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PSG's mega-rich Qatari owners are confident of keeping hold of the forward despite the Premier League attention, but Cavani has now hinted that he is unhappy at the club.
Asked if he will stay in the French capital, Cavani told L'Equipe: "We'll see at the end of the season. We have to finish the season first.
"I am in Paris, but there are certainly things we must talk about with the club, things should be done differently."
Chelsea were interested in Cavani last summer before the striker's move to Paris, and Jose Mourinho recently hinted that a switch this year "is not impossible".
But while the Uruguay international admitted to last summer's interest from the Blues, he was coy when asked about recent discussions.
"Chelsea were interested," he continued. "But the only thing that matters in the transfer window is spending money, just like Palermo did in 2009, Napoli in 2011 and PSG did last summer.
"PSG showed real desire and determination to include me in their project. When you see how much they invested in me, it is proof that they really want me.
"I do not know [if my agent met with representatives from United and Chelsea]. If something should happen, it's my brother who will do it and will be at the table with interested parties."